SAT Question 03c6994f: Area and Volume answer and explanation with Desmos solution

Choice A is correct. The area of a square is $s^2$, where $s$ is the side length of the square. Therefore, the area of square B is $b^2$, where $b$ is the side length of square B. It's given that square A has side lengths that are $246$ times the side lengths of square B. Therefore, the side length of square A can be represented by the expression $246b$. It follows that the area of square A is $(246b{)}^2$, or $60,516b^2$. It's given that the area of square A is $k$ times the area of square B, so $60,516b^2=k{b}^2$. Therefore, the value of $k$ is $60,516$.